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BY NC in_bo New Frontiers of Construction Management Workshop 2018, vol. 09 n° 13 Ifc-based Maintenance Budget Allocation Sebastiano Maltese *LRYDQQL %UDQFD )XOYLR 5H &HFFRQL 1LFROD 0RUHWWL /)=;36(7 &-1 -*' ȲǗȰǥȨǘ ȳǠǠǝȱȳǘǣǝǞ *ȳȱǣǠǣǘǓ 'ǝǞȰǣǘǣǝǞ -ǞȰȨǔ *ȳȱǣǠǣǘǓ 1ȳǞȳǥȨǟȨǞǘ 1EMRXIRERGI FYHKIX ETTVEMWEP ERH EPPSGEXMSR MW E JYRHEQIRXEP EGXMZMX] JSV XLI HIƼRMXMSR SJ ER IJJIGXMZI *EGMPMX] 1EREKIQIRX *1 WXVEXIK] 3RGI XLI QEMRXIRERGI TSPMG] MW WIX F] XLI EWWIXWƅ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some additional attributes may be associated to elements and stored in custom TVSTIVX] WIXW 8LI VIWYPXW SJ XLMW VIWIEVGL EVI E WIX SJ HEXE TVSGIHYVIW ERH XSSPW XLEX EPPS[ XLI UYERXMƼGEXMSR ERH TPERRMRK SJ QEMRXIRERGI I\TIRHMXYVI EPPS[MRK E TVSTIV FYHKIX EPPSGEXMSR 8LIWI TVSGIHYVIW ERH XSSPW ERW[IV XLI RIIH SJ FSXL HIWMKRIVW during new constructions (to prepare the maintenance plan, as required by current -XEPMER PE[W JSV TYFPMG FYMPHMRKW ERH EWWIX QEREKIVW HYVMRK XLI HMKMXMWEXMSR SJ I\MWXMRK FYMPHMRKW XS WXSVI QEMRXIRERGI HEXE ERH XS VIP] SR FIXXIV ETTVEMWEPW -R XLMW TETIV E HIQSRWXVEXMSR MW TVIWIRXIH [MXL XLI TYVTSWI SJ WLS[MRK XLI TVSTSWIH QIXLSHSPSK] ERH XSSPW 8LI HIQSRWXVEXMSR LEW FIIR GEVVMIH SYX SR WSQI SJ XLI EVGLMXIGXYVEP ERH 1IGLERMGEP )PIGXVMGEP 4PYQFMRK 1)4 GSQTSRIRXW XLEX QEMRP] GSRXVMFYXI XS XLI ERRYEP QEMRXIRERGI I\TIRHMXYVI 4

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€BY NC

in_bo New Frontiers of Construction Management Workshop 2018, vol. 09 n° 13

Ifc-based Maintenance Budget Allocation

Sebastiano Maltese*LRYDQQL�%UDQFD)XOYLR�5H�&HFFRQL1LFROD�0RUHWWL

/)=;36(7��&-1��-*'��ȲǗȰǥȨǘ�ȳǠǠǝȱȳǘǣǝǞ��*ȳȱǣǠǣǘǓ�'ǝǞȰǣǘǣǝǞ�-ǞȰȨǔ��*ȳȱǣǠǣǘǓ�1ȳǞȳǥȨǟȨǞǘ�

1EMRXIRERGI�FYHKIX�ETTVEMWEP�ERH�EPPSGEXMSR�MW�E�JYRHEQIRXEP�EGXMZMX]�JSV�XLI�HIƼRMXMSR�SJ�ER�IJJIGXMZI�*EGMPMX]�1EREKIQIRX��*1 �WXVEXIK]��3RGI�XLI�QEMRXIRERGI�TSPMG]�MW�WIX�F]�XLI�EWWIXWƅ�S[RIV��JEGMPMX]�QEREKIVW�EVI�EWOIH�XS�GSQTEVI�HMJJIVIRX�QEMRXIRERGI�WXVEXIKMIW��M�I��TVIZIRXMZI�ZW��GSVVIGXMZI �MR�SVHIV�XS�TVSZMHI�E�VIPMEFPI�ERH�GSWX�IJJIGXMZI�QEMRXIRERGI�FYHKIX��8LMW�GER�FI�LMRHIVIH�F]�YREZEMPEFMPMX]�SJ�HEXE�JSV�QEMRXIRERGI�SJ� FYMPHMRK� GSQTSRIRXW�� 2S[EHE]W�� &YMPHMRK� -RJSVQEXMSR� 1SHIPPMRK� �&-1 � TVSZMHIW�TPIRX]�SJ�HEXE��FYX�TVSGIHYVIW�EVI�WIPHSQ�JSGYWIH�SR�QEMRXIRERGI�GSWXW�ETTVEMWEP�ERH� XLMW� JVIUYIRXP]� PIEHW� XS� ER� MRXIRWMZI� HEXE� VI�IPEFSVEXMSR�� 8LI� SFNIGXMZI� SJ� XLMW�VIWIEVGL�MW�XS�TVSZMHI�E�TVIGMWI�QEMRXIRERGI�FYHKIX�ETTVEMWEP�EGGSVHMRK�XS�HMJJIVIRX�QEMRXIRERGI�WXVEXIKMIW�XLVSYKL�XLI�*EGMPMX]�'SRHMXMSR�-RHI\��*'- ��GEPGYPEXIH�WXEVXMRK�JVSQ�HEXE�WXSVIH�MRXS�ER�-RHYWXV]�*SYRHEXMSR�'PEWWIW��-*' �QSHIP��(EXE�EVI�WXSVIH�MR�-JG%WWIX� IPIQIRXW�� YWMRK� XLI� VIPEXIH� TVSTIVX]� WIXW�� 8S� SZIVGSQI� GEPGYPEXMSR� RIIHW��some additional attributes may be associated to elements and stored in custom TVSTIVX]�WIXW��8LI�VIWYPXW�SJ�XLMW�VIWIEVGL�EVI�E�WIX�SJ�HEXE��TVSGIHYVIW�ERH�XSSPW�XLEX�EPPS[�XLI�UYERXMƼGEXMSR�ERH�TPERRMRK�SJ�QEMRXIRERGI�I\TIRHMXYVI��EPPS[MRK�E�TVSTIV�FYHKIX� EPPSGEXMSR�� 8LIWI� TVSGIHYVIW� ERH� XSSPW� ERW[IV� XLI� RIIH� SJ� FSXL� HIWMKRIVW�during new constructions (to prepare the maintenance plan, as required by current -XEPMER�PE[W�JSV�TYFPMG�FYMPHMRKW �ERH�EWWIX�QEREKIVW�HYVMRK�XLI�HMKMXMWEXMSR�SJ�I\MWXMRK�FYMPHMRKW��XS�WXSVI�QEMRXIRERGI�HEXE�ERH�XS�VIP]�SR�FIXXIV�ETTVEMWEPW ��-R�XLMW�TETIV�E�HIQSRWXVEXMSR�MW�TVIWIRXIH��[MXL�XLI�TYVTSWI�SJ�WLS[MRK�XLI�TVSTSWIH�QIXLSHSPSK]�ERH�XSSPW��8LI�HIQSRWXVEXMSR�LEW�FIIR�GEVVMIH�SYX�SR�WSQI�SJ�XLI�EVGLMXIGXYVEP�ERH�1IGLERMGEP�� )PIGXVMGEP�� 4PYQFMRK� �1)4 � GSQTSRIRXW� XLEX� QEMRP]� GSRXVMFYXI� XS� XLI�ERRYEP�QEMRXIRERGI�I\TIRHMXYVI��

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XLI� YWI� SJ� XLI� &-1� ETTVSEGL�� *SV� XLMW�TYVTSWI�� XLI� -*'� WGLIQE� LEW� FIIR�IQTPS]IH�� -*'� EPPS[W� HEXE� I\GLERKI�ERH� MRXIVSTIVEFMPMX]� XLVSYKL� HMJJIVIRX�TVSJIWWMSREPW�� WSJX[EVI� ERH� TLEWIW�SJ� XLI� %VGLMXIGXYVI�� )RKMRIIVMRK�'SRWXVYGXMSR� ERH� 3TIVEXMSR� �%)'3 �WIGXSV�-73�� ���� �� *SV� IJJIGXMZI�FYHKIX� EPPSGEXMSR� ERH� TVMSVMXMWEXMSR� SJ�QEMRXIRERGI� MRXIVZIRXMSRW�� -*'�WGLIQE�has been employed in order to store XLI� MRJSVQEXMSR� VIPEXIH� XS�QEMRXIRERGI�TPERRMRK� ERH� WGLIHYPMRK�� -JG%WWIX�has been associated to components belonging to the same building entity SR� [LMGL� XS� TIVJSVQ� LSQSKIRISYW�maintenance interventions. For that QEMRXIRERGI�IRXMX]�LEW�FIIR�HIƼRIH�XLI�WXERHEVH�QEMRXIRERGI�TVSƼPI�ERH�XLEROW�XS� E� 'SRHMXMSR� %WWIWWQIRX� GEQTEMKR�the current maintenance status has FIIR� MHIRXMƼIH��8LIWI� STIVEXMSRW� EPPS[�XS� HIƼRI� XLI� *EGMPMX]� 'SRHMXMSR� -RHI\��*'- �ZEPYI�SJ�IZIV]�WMRKPI�QEMRXIRERGI�

Facility maintenance management �*11 � GSRWXMXYXIW� QSWX� ���b�� �SJ� XLI� XSXEP� GSWXW� MRGYVVIH� F]� *1�EGXMZMXMIW�0EZ]�ERH�.E[EHIOEV������ ��-R�XLMW�GSRXI\X�IJJIGXMZI�QIXLSHSPSKMIW�ERH�TVSGIHYVIW� JSV� FYMPHMRK� QEREKIQIRX�WLSYPH�FI�EHSTXIH�JSV�WEZMRK�VIWSYVGIW�ERH� JSV� ER� MQTVSZIH� WLEVMRK� SJ�MRJSVQEXMSR� EQSRK� WXEOILSPHIVW��8LIVIJSVI�� E� &-1� ETTVSEGL� GER� FI�IQTPS]IH� EW� FEWMW� JSV� IJJIGXMZI� *1�MQTPIQIRXEXMSR�4ʞVR�� )H[EVHW� ERH�7MRK�� ���� �� &-1� GER� FI� HIƼRIH� EW� E�HMKMXEP�FEWIH�ETTVSEGL�JSV�QEREKIQIRX�SJ� MRJSVQEXMSR� VIPEXIH� XS� XLI� FYMPHMRKW�ERH� XLI� FYMPX� IRZMVSRQIRX�6I� 'IGGSRM��1EPXIWI� ERH� (INEGS�� ���� �� 6IGIRXP]�some demonstrations have proved the possibility to implement this approach EPWS� MR� XLI� YWI� TLEWI� SJ� EWWIXW�:SPO��7XIRKIP� ERH� 7GLYPXQERR�� ������ 'LIR�IX� EP��� ���� �� 8LIVIJSVI�� XLMW� VIWIEVGL�addresses the issues related to the IJJIGXMZI� FYHKIX� EPPSGEXMSR� XLVSYKL�

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The built environment is currently characterised by an increasing GSQTPI\MX]�0Y�� 'PIQIRXW�'VSSQI�

ERH� :MPNERIR�� ���� �� 3R� SRI� LERH� XLI�FYMPHMRK� MW� RS� PSRKIV� JIEXYVIH� SRP]� F]�physical characteristics,it is more and QSVI�MRGPYHIH�MR�ER�EVVE]�SJ�WIVZMGIW�XS�FI� TVSZMHIH� XS� XLI� YWIVW�� 3R� XLI� SXLIV�hand, the building intended as a physical IRXMX]�� MW� FIMRK� WYFNIGX� XS� E� TVSGIWW� SJ�HMKMXMWEXMSRWXIQQMRK� JVSQ� XLI�QEWWMZI�YWI�� MR� RI[� FYMPHMRKW�� SJ� GSQTSRIRXW�ERH� XIGLRSPSKMIW� VIUYMVMRK�ER-'8�FEWIH��-RJSVQEXMSR� ERH� 'SQQYRMGEXMSR�8IGLRSPSK] � QEREKIQIRX� ETTVSEGL��;MXLMR�XLMW�GSRXI\X��XLI�JEGMPMX]�QEREKIV�LEW� XS� JEGI�E�QSVI�ERH�QSVI�GSQTPI\�physical asset producing and gathering E� LYKI� EQSYRX� SJ� HEXE� IZIV]� HE]��8LIVIJSVI�� XSSPW� ERH� XIGLRMUYIW�XLEX� WLSYPH� FI� IQTPS]IH� JSV� ER�IJJIGXMZI� *EGMPMX]� 1EREKIQIRX� �*1 �implementation must be addressed MRJSVQEXMSR�GSQTPI\MX]�ERH�YRGIVXEMRX]��

in_bo Ifc-Based Maintenance Budget Allocation S. Maltese, G. Branca, F. Re Cecconi, N. Moretti

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in_bo New Frontiers of Construction Management Workshop 2018, vol. 09 n° 13

Figure 2: Research schema

IRXMX]��8LI�*'-� MW�SRI�SJ� XLI�QSWX�YWIH�/I]� 4IVJSVQERGI� -RHMGEXSVW� �/4-W � JSV�EWWIXWƅ� EWWIWWQIRX�0EZ]�� +EVGME� ERH�(M\MX�� ���� �� XLEROW� XS� XLI� TSWWMFMPMX]�XS� WGEPI� XLI� MRHMGEXSV� JVSQ� XLI� WMRKPI�IRXMX]�XS�XLI�[LSPI�FYMPHMRKW�TSVXJSPMS�6I�'IGGSRM�� 1EPXIWI� ERH� (INEGS�� ���� �-R�MXW�FEWMG�JSVQ�MX�MW�YWIH�JSV�IZEPYEXMSR�SJ�GSWX�SJ�HIJIVVIH�QEMRXIRERGI��(1 ��SZIV�XLI� 'YVVIRX� 6ITPEGIQIRX� :EPYI� �'6: �SJ� XLI� GSQTSRIRX�6YWL�� ���� �8LI� *'-�EPPS[W� XS� UYERXMJ]� XLI� QEMRXIRERGI�I\TIRWI�MR�E�WGEPI�JVSQ���XS������[LIVI��� VITVIWIRXW� XLI� FIWX� ZEPYI � �6YWL������ ��8LI�*'-�� MR�XLMW�VIWIEVGL��MW�YWIH�JSV� E� X[S� JSPHIH� EMQ�� XLI�QEMRXIRERGI�budget allocation and the prioritisation SJ� QEMRXIRERGI� MRXIVZIRXMSRW�� 8LMW�approach has been tested on a case WXYH]� GSRGIVRMRK� ER� SƾGI� FYMPHMRK� MR�)VFE�� -XEP]�� 8LI� TETIV� GSRGPYHIW� [MXL�WSQI�MRWMKLXW�ERH�JYVXLIV�HIZIPSTQIRXW�SJ�XLI�VIWIEVGL��

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���� �� 1SVI� VIGIRXP]�� JYVXLIVXLISVMIW�ERH� TVEGXMGIW� MRZSPZMRK� XLI� YWI� SJ� &-1�XSSPW�JSV�*1�LEZI�FIIR�HIZIPSTIH�'LIR�IX� EP��� ���� �� 8LI]QEMRP]� HIEP� [MXL� XLI�TSWWMFMPMX]� SJ� MRXIKVEXMRK� MRJSVQEXMSR�SR� QEMRXIRERGI� ERH� QEREKIQIRX� SJ�building stocks and their parts into the GSPPEFSVEXMZI�ETTVSEGL�X]TMGEP�SJ�XLI�&-1�QIXLSHSPSKMIW�,SWWIMRM� IX� EP��� ���� ��8LMW� XVIRH� LEW� PIH� XS� XLI� HIƼRMXMSR� SJ�E� WTIGMƼG� GLEVEGXIVMWEXMSR� SJ� XLI� &-1�ETTVSEGL�:SPO��7XIRKIP�ERH�7GLYPXQERR������ ��8LI�YWI�SJ�&-1�JSV�QEMRXIRERGI�has also been promoted through the use SJ�WMQTPMƼIH�-*'�QSHIPW�PMOI�'3&MI�&7-������ ��E�WYFWIX�SJ�XLI�-*'�QSHIP��FEWIH�SR� XLI� *EGMPMXMIW� ,ERHSZIV� QSHIP� ZMI[�HIƼRMXMSR�� 1SVISZIV�QER]� I\EQTPIW�SJ� &-1� YWI� MR� XLI� *1� TVSGIWW� GER� FI�JSYRH� MR� PMXIVEXYVI�� JVSQ�XLI�YWI�SJ�&-1�MR�XLI�GSRHMXMSR�EWWIWWQIRX�SJ�I\MWXMRK�FYMPHMRKW� �&SVXSPMRM� ERH� *SVGEHE�� ���� �%RM� IX� EP��� ���� XS� XLI� EYXSQEXMG�WGLIHYPMRK�SJ�JEGMPMX]�QEMRXIRERGI�[SVO�SVHIVW� �'LIR�IX� EP��� ���� �� JVSQ�WEJIX]�IQIVKIRG]� QEREKIQIRX�2MGE�� ERH�;SH]˲WOM�� ���� � XSXLI� GVIEXMSR� SJ� ER�EWWIX�VIKMWXIV��4EXEGEW�IX�EP������� �

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8LMW� VIWIEVGL� MW� TEVX� SJ� E� [MHIV� WXYH]�I\TPSVMRK� XLI� YWI� MR� *1�SJ�3TIR&-1�� E�universal approach to the collaborative HIWMKR�� VIEPM^EXMSR� ERH� STIVEXMSR� SJ�buildings based on open standards ERH�[SVOƽS[W��8LMW� TETIV� MRZIWXMKEXIW�XLI� YWI� SJ� -*'�� XLI� GSVI� SJ� 3TIR&-1��EW� XLI� GIRXVEP� WSYVGI� SJ� MRJSVQEXMSR�regarding the asset during its whole PMJI� G]GPI�� %YXLSVW� FIPMIZI� XLEX� QER]�-JG4VSTIVX]7IXWERH� -JG)RXMXMIWGER� FI�I\TPSMXIH�XS�MQTVSZI�GYVVIRX�*1�TVEGXMGI��WS�XLI�QEMR�SFNIGXMZI�SJ�XLI�VIWIEVGL�MW�XS� WLS[�LS[�ER� -*'�QSHIP� GER�FI� XLI�VIEP�GIRXVI�SJ�HEXE�EKKVIKEXMSR�The model and the documentation, GSRXEMRIH� MR� XLI� 'SQQSR� (EXE�)RZMVSRQIRX��'() �� MW�GLERKMRK�XLVSYKL�XLI� TLEWIW� SJ� XLI� TVSNIGX� �M�I�� TVSNIGX��GSRWXVYGXMSR�� STIVEXMSR � ERH� EVI�QEREKIH�[MXL�HMJJIVIRX�WSJX[EVI��M�I��&-1�EYXLSVMRK�XSSPW��'%*1�XSSPW ��*MKYVI�� �

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-R� XLMW� TETIV�� SRP]� XLI� TEVX� VIPEXIH� XS�maintenance budgeting and scheduling MW�HIZIPSTIH��*MKYVI�� ��EMQMRK�EX�WGEPMRK�this process to other several activities, GSQQSRP]� XMQI� ERH� IJJSVX� GSRWYQMRK�during assets operations (e.g. space management, contracting, rent, VIRSZEXMSR��IRIVK]�QSRMXSVMRK��IXG� ��8LI�I\GLERKI� SJ� MRJSVQEXMSR� MW� KYEVERXIIH�YWMRK� XLI� -*'� TVSXSGSP�� -*'� EPPS[W� RSX�SRP]� XLI� I\GLERKI� SJ� MRJSVQEXMSR� FYX�EPWS� XLI�WXSVEKI�SJ� VIPIZERX�HEXE�EFSYX�maintenance cost (i.e. maintenance FYHKIX �ERH�WGLIHYPMRK��M�I��QEMRXIRERGI�WGLIHYPMRK �

The research is willing to overcome an MQTSVXERX� PMQMX� SJ�QER]� &-1� EYXLSVMRK�XSSPW��XLI�EWWSGMEXMSR�SJ�HEXE�XS�KVSYTW�

SJ� SFNIGXW�� *SV� XLMW� TYVTSWI�� XLI�,IF$VVHWFDQ be employed, since it can be associated to single elements (e.g. ,IF0HFKDQLFDO(TXLSPHQW � SV� XS� KVSYTW�SJ� SFNIGXW� �I�K�� GYVXEMR� [EPP�� LIEXMRK�W]WXIQ ��7S�� XLI� -JG%WWIXGER�FVMHKI�XLI�KET�FIX[IIR�&-1�EYXLSVMRK�XSSPW��SFNIGX�GIRXVIH � ERH� QEREKIQIRX� WSJX[EVI��GSWX�GIRXVIH �� XLI� ,IF$VVHWFRXOG be YWIH�EW�E�GIRXVI�SJ�GSWX��[MXL�E�FYHKIX�assigned and maintenance scheduled. -R�XLI�HIQSRWXVEXMSR�WIGXMSR�MX�MW�WLS[R�how to store maintenance operations HEXEJSV� E� GYVXEMR� [EPPMR� ER� -*'� QSHIP���\�� (IWMKR� 8VERWJIV� :MI[ � ERH� LS[�to work on these data. The entity used JSV� QEMRXIRERGI� QEREKIQIRX�� MR� XLMW�research, connected to the ,IF$VVHW� by XLI�KPSFEP�MHIRXMƼIV��MW�XLI�,IF3URMHFW2UGHU.

-X�MW�EPWS�TSWWMFPI�XS�WXSVI�PMWX�SJ�HEXE�SR�a time series (,IF,UUHJXODU7LPH6HULHV ��by using ,IF$VVHW in combination with the property set ,IF3HUIRUPDQFH+LVWRU\, which allows to save one or more data with a time stamp (,IF'DWH7LPH?���A��,IF9DOXH?��#A �

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The methodology depicted in the previous paragraph has been validated XLVSYKL� E� HIQSRWXVEXMSR� SR� ER� SƾGI�FYMPHMRK� PSGEXIH� MR� )VFE�� -XEP]�� 8LI�FYMPHMRK� MW�GLEVEGXIVMWIH�F]�XLVII�ƽSSVW�above the ground and one underground. 'YVVIRXP]��MX�MW�SGGYTMIH�F]�E�GSRWXVYGXMSR�ƼVQ�ERH�E�RSXEV]� ƼVQ��8LI�&-1�QSHIP�LEW� FIIR� GVIEXIH� YWMRK� EW�FYMPX� �(�HVE[MRKW� JSPPS[MRK� XLI� MRJSVQEXMSR�VIUYMVIQIRXW� EREP]WMW�� XLI� SFNIGXMZI�[EW� XS� GVIEXI� E� PS[� 03(� ERH� LMKL� 03-�QSHIP�[MXL� EPP� XLI� HEXE� RIIHIH� JSV� XLI�operational phase. All spaces and main GSQTSRIRXW� �EVGLMXIGXYVEP� ERH� 1)4 �LEZI�FIIR�QSHIPPIH��-R�*MKYVI���XLI�&-1�QSHIP�SJ�XLI�GEWI�WXYH]�MW�TVIWIRXIH�

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The data inserted in the model thanks XS� E� &YMPHMRK� 'SRHMXMSR� %WWIWWQIRX��&'% � TVSGIHYVI�� XLI� WYVZI]� ERH� XLI�EREP]WMW� SJ� *1� HSGYQIRXW�� VIWYPXIH� MR���� HIJIVVIH� QEMRXIRERGI� STIVEXMSRW��8LIWI�LEZI�FIIR�JSYRH�HYVMRK�XLI�&'%�on 73 components surveyed. The total EZIVEKI� *'-� VIWYPXIH� IUYEP� XS� ���� EW�shown inFigure 6.

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